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Finding the Third Proportional to 143,677,300 and 255,441,896

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Solution

The third proportional to 143,677,300 and 255,441,896 is: 454,146,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,677,300 : 255,441,896 = 255,441,896 : x
  2. Step 2: Convert to fraction form
    143,677,300/255,441,896 = 255,441,896/x
  3. Step 3: Cross multiply
    143,677,300x = 255,441,896 × 255,441,896
  4. Step 4: Simplify right side
    143,677,300x = 65,250,562,232,074,816
  5. Step 5: Solve for x
    x = 65,250,562,232,074,816/143,677,300
  6. Step 6: Final answer
    x = 454,146,634.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.